Science and Information Theory

Science and Information Theory PDF Author: Leon Brillouin
Publisher: Courier Corporation
ISBN: 0486497550
Category : Science
Languages : en
Pages : 370

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Book Description
Geared toward upper-level undergraduates and graduate students, this classic resource by a giant of 20th-century mathematics applies principles of information theory to Maxwell's demon, thermodynamics, and measurement problems. 1962 edition.

Science and Information Theory

Science and Information Theory PDF Author: Leon Brillouin
Publisher: Courier Corporation
ISBN: 0486497550
Category : Science
Languages : en
Pages : 370

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Book Description
Geared toward upper-level undergraduates and graduate students, this classic resource by a giant of 20th-century mathematics applies principles of information theory to Maxwell's demon, thermodynamics, and measurement problems. 1962 edition.

Information Theory and Quantum Physics

Information Theory and Quantum Physics PDF Author: Herbert S. Green
Publisher: Springer Science & Business Media
ISBN: 364257162X
Category : Science
Languages : en
Pages : 248

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Book Description
In this highly readable book, H.S. Green, a former student of Max Born and well known as an author in physics and in the philosophy of science, presents a timely analysis of theoretical physics and related fundamental problems.

Information Theory of the Cosmos

Information Theory of the Cosmos PDF Author: Raghunath Tiruvaipati
Publisher: Educreation Publishing
ISBN:
Category : Education
Languages : en
Pages : 333

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Book Description
This book deals with information theory spanning across different areas of science such as Quantum Physics, Quantum Computing, Genetics, Thermodynamics. It describes how information underlies everything in the universe and the relationship between entropy of the universe and information. it takes into account Shannon's information theory introduced in 1948 and discusses contemprerary developments in the information theory field. it discusses how the universe originated from bigbang and how life evolved for the last 4.5 billion years that the Earth was formed. More over, it deals with new concepts in the field of quantum physics like quantum entanglement and quantum tunneling . it also discusses the possibilities of sending information at the speed of light or more than that. it describes the Boltzmann's equations for stastical systems, maxwell's daemon, turing machine. this book touches upon a little bit of mathematic equations to explain about the quantum computing, how to build quantum logic gates and further developments in that field . it talks about astronomical objects like blackholes, quasars and the thermo-dynamics operating behind them. it touches upon genetics as genes carry a huge amount of information in their DNA to shape up an organism.

Entropy and Information Theory

Entropy and Information Theory PDF Author: Robert M. Gray
Publisher: Springer Science & Business Media
ISBN: 1475739826
Category : Computers
Languages : en
Pages : 346

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Book Description
This book is devoted to the theory of probabilistic information measures and their application to coding theorems for information sources and noisy channels. The eventual goal is a general development of Shannon's mathematical theory of communication, but much of the space is devoted to the tools and methods required to prove the Shannon coding theorems. These tools form an area common to ergodic theory and information theory and comprise several quantitative notions of the information in random variables, random processes, and dynamical systems. Examples are entropy, mutual information, conditional entropy, conditional information, and discrimination or relative entropy, along with the limiting normalized versions of these quantities such as entropy rate and information rate. Much of the book is concerned with their properties, especially the long term asymptotic behavior of sample information and expected information. This is the only up-to-date treatment of traditional information theory emphasizing ergodic theory.

Quantum Information Theory

Quantum Information Theory PDF Author: Mark Wilde
Publisher: Cambridge University Press
ISBN: 1107034256
Category : Computers
Languages : en
Pages : 673

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Book Description
A self-contained, graduate-level textbook that develops from scratch classical results as well as advances of the past decade.

Algorithmic Information Theory for Physicists and Natural Scientists

Algorithmic Information Theory for Physicists and Natural Scientists PDF Author: Sean D Devine
Publisher:
ISBN: 9780750326414
Category :
Languages : en
Pages : 238

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Book Description
Algorithmic information theory (AIT), or Kolmogorov complexity as it is known to mathematicians, can provide a useful tool for scientists to look at natural systems, however, some critical conceptual issues need to be understood and the advances already made collated and put in a form accessible to scientists. This book has been written in the hope that readers will be able to absorb the key ideas behind AIT so that they are in a better position to access the mathematical developments and to apply the ideas to their own areas of interest. The theoretical underpinning of AIT is outlined in the earlier chapters, while later chapters focus on the applications, drawing attention to the thermodynamic commonality between ordered physical systems such as the alignment of magnetic spins, the maintenance of a laser distant from equilibrium, and ordered living systems such as bacterial systems, an ecology, and an economy. Key Features Presents a mathematically complex subject in language accessible to scientists Provides rich insights into modelling far-from-equilibrium systems Emphasises applications across range of fields, including physics, biology and econophysics Empowers scientists to apply these mathematical tools to their own research

Mathematical Foundations of Information Theory

Mathematical Foundations of Information Theory PDF Author: Aleksandr I?Akovlevich Khinchin
Publisher: Courier Corporation
ISBN: 0486604349
Category : Mathematics
Languages : en
Pages : 130

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Book Description
First comprehensive introduction to information theory explores the work of Shannon, McMillan, Feinstein, and Khinchin. Topics include the entropy concept in probability theory, fundamental theorems, and other subjects. 1957 edition.

Information Measures

Information Measures PDF Author: Christoph Arndt
Publisher: Springer Science & Business Media
ISBN: 3642566693
Category : Technology & Engineering
Languages : en
Pages : 555

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Book Description
From the reviews: "Bioinformaticians are facing the challenge of how to handle immense amounts of raw data, [...] and render them accessible to scientists working on a wide variety of problems. [This book] can be such a tool." IEEE Engineering in Medicine and Biology

New Foundations for Information Theory

New Foundations for Information Theory PDF Author: David Ellerman
Publisher: Springer Nature
ISBN: 3030865525
Category : Philosophy
Languages : en
Pages : 121

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Book Description
This monograph offers a new foundation for information theory that is based on the notion of information-as-distinctions, being directly measured by logical entropy, and on the re-quantification as Shannon entropy, which is the fundamental concept for the theory of coding and communications. Information is based on distinctions, differences, distinguishability, and diversity. Information sets are defined that express the distinctions made by a partition, e.g., the inverse-image of a random variable so they represent the pre-probability notion of information. Then logical entropy is a probability measure on the information sets, the probability that on two independent trials, a distinction or “dit” of the partition will be obtained. The formula for logical entropy is a new derivation of an old formula that goes back to the early twentieth century and has been re-derived many times in different contexts. As a probability measure, all the compound notions of joint, conditional, and mutual logical entropy are immediate. The Shannon entropy (which is not defined as a measure in the sense of measure theory) and its compound notions are then derived from a non-linear dit-to-bit transform that re-quantifies the distinctions of a random variable in terms of bits—so the Shannon entropy is the average number of binary distinctions or bits necessary to make all the distinctions of the random variable. And, using a linearization method, all the set concepts in this logical information theory naturally extend to vector spaces in general—and to Hilbert spaces in particular—for quantum logical information theory which provides the natural measure of the distinctions made in quantum measurement. Relatively short but dense in content, this work can be a reference to researchers and graduate students doing investigations in information theory, maximum entropy methods in physics, engineering, and statistics, and to all those with a special interest in a new approach to quantum information theory.

Information Theory And Evolution (Third Edition)

Information Theory And Evolution (Third Edition) PDF Author: John Scales Avery
Publisher: World Scientific
ISBN: 9811250383
Category : Science
Languages : en
Pages : 329

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Book Description
This highly interdisciplinary book discusses the phenomenon of life, including its origin and evolution, against the background of thermodynamics, statistical mechanics, and information theory. Among the central themes is the seeming contradiction between the second law of thermodynamics and the high degree of order and complexity produced by living systems. As the author shows, this paradox has its resolution in the information content of the Gibbs free energy that enters the biosphere from outside sources. Another focus of the book is the role of information in human cultural evolution, which is also discussed with the origin of human linguistic abilities. One of the final chapters addresses the merging of information technology and biotechnology into a new discipline — bioinformation technology.This third edition has been updated to reflect the latest scientific and technological advances. Professor Avery makes use of the perspectives of famous scholars such as Professor Noam Chomsky and Nobel Laureates John O'Keefe, May-Britt Moser and Edward Moser to cast light on the evolution of human languages. The mechanism of cell differentiation, and the rapid acceleration of information technology in the 21st century are also discussed.With various research disciplines becoming increasingly interrelated today, Information Theory and Evolution provides nuance to the conversation between bioinformatics, information technology, and pertinent social-political issues. This book is a welcome voice in working on the future challenges that humanity will face as a result of scientific and technological progress.